101533137216252 has 144 divisors (see below), whose sum is σ = 275805394824960. Its totient is φ = 28986798371328.

The previous prime is 101533137216223. The next prime is 101533137216283. The reversal of 101533137216252 is 252612731335101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4375850883 + ... + 4375874085.

It is an arithmetic number, because the mean of its divisors is an integer number (1915315241840).

Almost surely, 2^{101533137216252} is an apocalyptic number.

101533137216252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101533137216252 is an abundant number, since it is smaller than the sum of its proper divisors (174272257608708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101533137216252 is a wasteful number, since it uses less digits than its factorization.

101533137216252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28720 (or 28711 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 101533137216252 in words is "one hundred one trillion, five hundred thirty-three billion, one hundred thirty-seven million, two hundred sixteen thousand, two hundred fifty-two".